I'm not actually doing the exam as I sat my Higher Maths last year, but I just wanted to wish you all the very best of luck for Monday. I struggled with Maths so much all the way through S5, but with the work and effort, it will come to you in the exam. Trust me, I got 28% in the prelim and managed to get up to a B (which was 65%+ last year).
Does anybody know how to do this question? The solution is at the bottom of the page but I am unsure on what it all means?
if log to base 3 of y =x then we replace the x with 1, this tells us that y=3^1 so y=3 therefore we know the graph passes through the point (1,3) the easy way to do it is to know that the if x = 1 the the log base is y also we then work out where it crosses the axis, so we know we cant take the log of 0 as we never reach 0 on a log graph so y cant = 0 so when x=0 y=1 as anything to power 0 is 1 tha make the answer C! i hope that helps!
if log to base 3 of y =x then we replace the x with 1, this tells us that y=3^1 so y=3 therefore we know the graph passes through the point (1,3) the easy way to do it is to know that the if x = 1 the the log base is y also we then work out where it crosses the axis, so we know we cant take the log of 0 as we never reach 0 on alog graph so y cant = 0 so when x=0 y=1 as anything to power 0 is 1 i hope that helps!
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Optimisation is just differentiation in context for example finding the dimensions on a 3-D shape which will give a minimum or a maximum volume - similar lay-out to finding stationary points
Optimisation is just differentiation in context for example finding the dimensions on a 3-D shape which will give a minimum or a maximum volume - similar lay-out to finding stationary points